Understanding Analysis (Undergraduate Texts in Mathematics)

4.25 avg rating
( 129 ratings by Goodreads )
 
9781493927111: Understanding Analysis (Undergraduate Texts in Mathematics)

This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of  them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.

Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation ­ Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.

"synopsis" may belong to another edition of this title.

About the Author:

Stephen D. Abbott is Professor of Mathematics at Middlebury College. He is a two-time winner of Middlebury’s Perkins Award for Excellence in Teaching (1998, 2010). His published work includes articles in the areas of operator theory and functional analysis, the algorithmic foundations of robotics, and the intersection of science, mathematics and the humanities.          

Review:

           

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Abbott, Abbott
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Quantity Available: 5
Seller:
GreatBookPrices
(Columbia, MD, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # 23883130-n

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 40.33
Convert Currency

Add to Basket

Shipping: US$ 2.64
Within U.S.A.
Destination, Rates & Speeds

2.

ABBOTT STEPHEN
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Quantity Available: 2
Seller:
firstbookstore
(New Delhi, India)
Rating
[?]

Book Description Book Condition: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-68452

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 46.82
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

3.

ABBOTT STEPHEN
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Quantity Available: 2
Seller:
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. US edition. Perfect condition. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-7803

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.33
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

4.

ABBOTT STEPHEN
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Quantity Available: 2
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Book Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB7803

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.38
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

5.

Stephen Abbott
Published by Springer-Verlag New York Inc., United States (2016)
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Hardcover Quantity Available: 1
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2016. Hardback. Book Condition: New. 2nd ed. 2015, Corr. 2nd printing 2016. Language: English . Brand New Book. This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler s computation of Î (2), the Weierstrass Approximation - Theorem, and the gamma function are now among the book s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis. Bookseller Inventory # AAZ9781493927111

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 48.48
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Stephen Abbott
Published by Springer-Verlag New York Inc., United States (2016)
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2016. Hardback. Book Condition: New. 2nd ed. 2015, Corr. 2nd printing 2016. Language: English . Brand New Book. This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler s computation of Î (2), the Weierstrass Approximation - Theorem, and the gamma function are now among the book s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis. Bookseller Inventory # AAZ9781493927111

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 49.80
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

ABBOTT STEPHEN
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Quantity Available: 2
Seller:
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-68452

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 50.03
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

8.

ABBOTT STEPHEN
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Quantity Available: 2
Seller:
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Book Condition: Brand New. New, US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-7803

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 50.05
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

9.

Stephen Abbott
Published by Springer 2015-06-14 (2015)
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Quantity Available: 5
Seller:
Chiron Media
(Wallingford, United Kingdom)
Rating
[?]

Book Description Springer 2015-06-14, 2015. Book Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-GRD-05276837

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.90
Convert Currency

Add to Basket

Shipping: US$ 3.99
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Stephen Abbott
Published by Springer-Verlag New York Inc.
ISBN 10: 1493927116 ISBN 13: 9781493927111
New Hardcover Quantity Available: 10
Seller:
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc. Hardback. Book Condition: new. BRAND NEW, Understanding Analysis: 2015 (2nd Revised edition), Stephen Abbott, This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one. Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler's computation of zeta(2), the Weierstrass Approximation - Theorem, and the gamma function are now among the book's cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis. Review of the first edition: "This is a dangerous book. Understanding Analysis is so well-written and the development of the theory so w ell-motiv ated that exposing students to it could well lead them to expect such excellence in all their textbooks.Understanding Analysis is perfectly titled; if your students read it, that's what's going to happen.This terrific book will become the text of choice for the single-variable introductory analysis course ." - Steve Kennedy, MAA Reviews. Bookseller Inventory # B9781493927111

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 45.19
Convert Currency

Add to Basket

Shipping: US$ 9.26
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book